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Numerical Approximation of Quantum-Integrals Using the Appropriate Nodes and Weights

Numerical Approximation of Quantum-Integrals Using the Appropriate Nodes and Weights
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摘要 In this paper, we present a procedure for the numerical q-calculation of the q-integrals based on appropriate nodes and weights which are determined such that the error of q-integration is mini-mized;a system of linear and nonlinear set of equations respectively are prepared to obtain the nodes and weights simultaneously;the error of q-integration is considered to be minimized under this condition;finally some application and numerical examples are given for comparison with the exact solution. At the end, the related tables of approximations are presented. In this paper, we present a procedure for the numerical q-calculation of the q-integrals based on appropriate nodes and weights which are determined such that the error of q-integration is mini-mized;a system of linear and nonlinear set of equations respectively are prepared to obtain the nodes and weights simultaneously;the error of q-integration is considered to be minimized under this condition;finally some application and numerical examples are given for comparison with the exact solution. At the end, the related tables of approximations are presented.
出处 《Applied Mathematics》 2015年第6期958-966,共9页 应用数学(英文)
关键词 q-Calculation Numerical Approximation q-Integration Q-DERIVATIVE q-Calculation Numerical Approximation q-Integration q-Derivative
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